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Nataliya [291]
3 years ago
12

Carey needs $60 to buy her mother’s a gift. She saved 25% of that amount so far. How much has she saved so far?

Mathematics
1 answer:
sdas [7]3 years ago
4 0

Answer:

  • $15

Step-by-step explanation:

<u>25% of $60 is:</u>

  • 25*60/100 = 15

She saved $15 so far

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each have a a possibility of 10 and there's 6 of of 10 compared to 3 out of 10.

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Step-by-step explanation:

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Write functions for each of the following transformations using function notation. Choose a different letter to represent each f
joja [24]

Answer:

1. Translation: g(x) = f(x-a)+b.

2. Reflection around y-axis: h(x) = f(-x)

3. Reflection around x-axis: k(x) = -f(x)

4. Rotation of 90° : R_{90} (x,y)=(-y,x)

5. Rotation of 180° : R_{180} (x,y)=(-x,-y).

6. Rotation of 270° : R_{180} (x,y)=(y,-x).

Step-by-step explanation:

Let us assume that the transformations namely translation, reflection are applied to a function f(x) and the rotation is applied to the point ( x,y ).

So, according to the options:

We know that 'translation moves the image in horizontal and vertical direction'.

1. As we have to translate the function f(x) 'a' units to the right and 'b' units up. So, the new form of the function becomes g(x) = f(x-a)+b.

Further, we know that 'reflection means to flip the image around a line'.

2. As, we have to reflect the function f(x) around y-axis. The new form of the function is h(x) = f(-x).

3. As, we have to reflect the function f(x) around x-axis. The new form of the function is k(x) = -f(x).

Since, 'rotation turns the image around a point to a certain degree'.

4. As, we have to rotate ( x,y ) counter-clockwise to 90° about the origin, the new form of the function is R_{90} (x,y)=(-y,x).

5. As, we have to rotate ( x,y ) counter-clockwise to 180° about the origin, the new form of the function is R_{180} (x,y)=(-x,-y).

6. As, we have to rotate ( x,y ) counter-clockwise to 270° about the origin, the new form of the function is R_{180} (x,y)=(y,-x).

5 0
3 years ago
Find the area of a triangle formed by placing the vectors [3, 6] and [7, 1] tail-to-tail.
Usimov [2.4K]

Answer:

a. A=10u^{2}

b. View graph

c. 6.40u

Step-by-step explanation:

knowing that the triangle area is equal to base by heigh between two, then:

A=\frac{bh}{2}=\frac{5*4}{2}=10u^{2}

The length of the longest altitude of your triangle is:

c^{2}=a^{2}+b^{2}=5^{2}+4^{2}=25+16=41\\    c=\sqrt{41}=6.40u

finally it can be seen that the position of the triangle does not matter, as long as the base and heigh are maintained, the area of ​​the triangle will be the same

6 0
3 years ago
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